9940008960 has 640 divisors, whose sum is σ = 41107746240. Its totient is φ = 2250768384.

The previous prime is 9940008959. The next prime is 9940008977. The reversal of 9940008960 is 698000499.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 92897227 + ... + 92897333.

Almost surely, 2^9940008960 is an apocalyptic number.

9940008960 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9940008960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20553873120).

9940008960 is an abundant number, since it is smaller than the sum of its proper divisors (31167737280).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

9940008960 is an equidigital number, since it uses as much as digits as its factorization.

9940008960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 9940008960 is about 99699.5935799139. The cubic root of 9940008960 is about 2150.1178201163.

The spelling of 9940008960 in words is "nine billion, nine hundred forty million, eight thousand, nine hundred sixty".